1/N Effects in Non-Relativistic Gauge-Gravity Duality
arXiv:0812.0166 · doi:10.1088/1126-6708/2009/03/097
Abstract
We argue that higher-curvature terms in the gravitational Lagrangian lead, via non-relativistic gauge-gravity duality, to finite renormalization of the dynamical exponent of the dual conformal field theory. Our argument includes a proof of the non-renormalization of the Schrodinger and Lifshitz metrics beyond rescalings of their parameters, directly generalizing the AdS case. We use this effect to construct string-theory duals of non-relativistic critical systems with non-integer dynamical exponents, then use these duals to predict the viscosity/entropy ratios of these systems. The predicted values weakly violate the KSS bound.
26 pages, latex
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- Non-relativistic metrics with extremal limits
- R^2 Corrections to Asymptotically Lifshitz Spacetimes
- Non-relativistic D3-brane in the presence of higher derivative corrections
- Robustness of Sound Speed and Jet Quenching for Gauge/Gravity Models of Hot QCD